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math.NT2021
Only finitely many -Cullen numbers are repunits for a fixed
Michael Filaseta, Jon Grantham, Hester Graves
We show that for any integer , there are only finitely many -Cullen numbers that are repunits. More precisely, for fixed , there are only finitely many intege…
math.NT2021
Consecutive primes which are widely digitally delicate
Michael Filaseta, Jacob Juillerat
We show that for every positive integer , there exist consecutive primes having the property that if any digit of any one of the primes, including any of the infinitely many…